Question

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

answer choices

H

I

Z

X

Answer 1

Z

Explanation:

You want to identify the letter among H, I, Z, X that has rotational symmetry, but not line symmetry.

Symmetry

The letters H, I, X have both vertical and horizontal line symmetry, as well as rotational symmetry.

The letter Z has rotational symmetry only.

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Additional comment

A figure is symmetrical about a line or point if reflection across the line or point results in mapping the figure to itself. There is no such line for the letter Z, but the midpoint of the diagonal stroke is a point of symmetry for that letter.

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